(a) Find the CM of a uniform hemispherical shell of inner and outer radii a and b and mass M positioned as in problem 10.5 (base is flat on xy plane, with center at origin) (b) what becomes of your answer when a=0? (c)what if b ----> a?
(a) Find the CM of a uniform hemispherical shell of inner and outer radii a and...
A spherical shell with uniform volume charge density of -0.2 mC/m3 has inner and outer radii equal to 5 cm and 10 cm, respectively. Find the electric field due to the shell for the distances 2 cm, 8 cm and 15 cm from the center of the shell
A long, conductive cylinder of radius R1 = 3.00 cm and uniform charge per unit length λ = 604 pC/m is coaxial with a long, cylindrical, non-conducting shell of inner and outer radii R2 = 10.5 cm and R3 = 12.0 cm, respectively. If the cylindrical shell carries a uniform charge density of p = 79.8 pC/m, find the magnitude of the electric field at the following radial distances from the central axis:
A uniformly charged spherical shell has inner and outer radii of 29.0 cm and 32.0 cm, respectively. A point charge of -45.0 nC is located at the center of the spherical shell. A proton orbits around this arrangement just outside the spherical shell with a speed of 8.39 x 105 m/s. What is the volume charge density of the spherical shell? (Include the sign of the value in your answer.) -6.2E-12 What force supplies the needed centripetal force that keeps...
A spherical conducting shell has a net charge of +7.0 nC and inner and outer radii 10 cm and 25 cm respectively. A point charge with magnitude -2.0 nC is placed at the center of this conducting shell. Use Gauss's Law to find the magnitude and direction of the electric field of the charge configuration at a distance 6 cm from the center of the spherical shell.
A spherical shell centered at the origin has an inner radius of 4 cm and an outer radius of 6 cm. The density, δ, of the material increases linearly with the distance from the center. At the inner surface, δ = 9 g/cm3; at the outer surface, g = 13 g/cm3 (a) Using spherical coordinates, write the density, δ, as a function of radius, p. (Type rho for ρ) (b) Write an integral in spherical coordinates giving the mass of the shell (for...
A sphere of radius R1 = 0.255 m and uniform charge density -43.5
μC/m3 lies at the center of a neutral, spherical, conducting shell
of inner and outer radii R2 = 0.568 m and R3 = 0.810 m,
respectively. Find the surface charge density on:
An air-filled spherical capacitor is constructed with an inner-shell radius of 6.50 cm and an outer-shell radius of 12.6 cm (a) Calculate the capacitance of the device. (b) What potential difference between the spheres results in a 4.00 μC charge on the capacitor? (c) What If? What would be the length (in cm) of a cylindrical air-filled capacitor with the same inner and outer radii as the spherical capacitor if it were to have the same capacitance as the spherical capacitor?
A conducting spherical shell of inner radius a= 50.0 cm and
outer radius b= 60.0 cm has a net charge Q1= -7.00 μC. A second
larger conducting shell of inner radius c= 70.0 cm and outer radius
d= 80.0 cm has a net charge of Q2= +3.00 μC, and it is concentric
with the first shell as shown in the figure to the left. What is
the magnitude and direction of the electric field as a function of
distance from...
In Fig. 23-52, a nonconducting spherical shell of inner radius a
= 2.06 cm and outer radius b = 2.47 cm has (within its thickness) a
positive volume charge density ρ = A/r, where A is a constant and r
is the distance from the center of the shell. In addition, a small
ball of charge q = 45.7 fC is located at that center. What value
should A have if the electric field in the shell (a ≤ r...
Chapter 23, Problem 028 GO A charge of uniform linear density 3.00
nC/m is distributed along a long, thin, nonconducting rod. The rod
is coaxial with a long conducting cylindrical shell (inner radius =
6.00 cm, outer radius = 10.8 cm). The net charge on the shell is
zero. (a) What is the magnitude of the electric field at distance r
= 16.8 cm from the axis of the shell? What is the surface charge
density on the (b) inner and...